Provided are a mura compensation circuit and a driving apparatus for a display applying the same. The mura compensation circuit includes a data remapping unit configured to remap display data of a pixel having mura so that an original gray scale range of the display data has a changed gray scale range and to provide the display data having the gray scale range in which the highest gray scale of the original gray scale range is lowered to a first gray scale of the gray scale range and the lowest gray scale of the original gray scale range is raised to a second gray scale by the remapping, and a mura compensation unit configured to perform mura compensations on the display data having the changed gray scale range and to provide the display data on which the mura compensations have been performed.